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Finding the Fourth Proportional to 2,322.50, 3,484.95 and 1,543.04

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Solution

The fourth proportional to 2,322.50, 3,484.95 and 1,543.04 is: 2,315.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,322.50 : 3,484.95 = 1,543.04 : x
  2. Step 2: Convert to fraction form
    2,322.50/3,484.95 = 1,543.04/x
  3. Step 3: Cross multiply
    2,322.50x = 3,484.95 × 1,543.04
  4. Step 4: Simplify right side
    2,322.50x = 5,377,407.11
  5. Step 5: Solve for x
    x = 5,377,407.11/2,322.50
  6. Step 6: Final answer
    x = 2,315.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.